1520041264 has 80 divisors (see below), whose sum is σ = 3686817600. Its totient is φ = 591962112.

The previous prime is 1520041253. The next prime is 1520041267. The reversal of 1520041264 is 4621400251.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1520041267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41452 + ... + 68980.

It is an arithmetic number, because the mean of its divisors is an integer number (46085220).

Almost surely, 2^1520041264 is an apocalyptic number.

1520041264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1520041264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843408800).

1520041264 is an abundant number, since it is smaller than the sum of its proper divisors (2166776336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1520041264 is a wasteful number, since it uses less digits than its factorization.

1520041264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27590 (or 27584 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 1520041264 is about 38987.7065752783. The cubic root of 1520041264 is about 1149.7898201900.

The spelling of 1520041264 in words is "one billion, five hundred twenty million, forty-one thousand, two hundred sixty-four".